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RegisterMSE of partial replicate design [General Statistics]
Hi d_labes,
Did you analyse with a mixed model or with a (g)lm?
And if you did a mixed model, did you simulate with balanced sequences without missing period data?
In a mixed model -if that's you case cf above- you have a V where the diagonal is either
a. s2wT+s2bT or s2wT+s2bT (full repl.)
b. s2wT or s2wR+s2bR (partial repl.)
The within's are clasically referred to as the errors. Your formula corresponds to setting the average of all those error-sigma2's equal to the mean squared error (case of no missing periods). It is more like a definition - the mean squared error is in essence the mean/average of the squared errors, right?
❝ For the full replicate (2x2x4) design Chow and Liu mention (without an elaborate explanation)
❝ mse = 1/2*(s2wT + s2wR)
❝
❝ For the partial replicate design (2x3x3) I have arrived with
❝ mse = 1/3*(s2wT + 2*s2wR)
❝ mostly empirical based on simulations (classical subject data sims without a subject-by-formulation interaction in the statistical model).
❝ Via these sims it could be verified that the formula for the full replicate design seems correct.
Did you analyse with a mixed model or with a (g)lm?
And if you did a mixed model, did you simulate with balanced sequences without missing period data?
❝ My questions are:
❝ Does any body know a way to derive the formulas theoretically?
In a mixed model -if that's you case cf above- you have a V where the diagonal is either
a. s2wT+s2bT or s2wT+s2bT (full repl.)
b. s2wT or s2wR+s2bR (partial repl.)
The within's are clasically referred to as the errors. Your formula corresponds to setting the average of all those error-sigma2's equal to the mean squared error (case of no missing periods). It is more like a definition - the mean squared error is in essence the mean/average of the squared errors, right?
❝ Or has anybody done simulations of the 2x3x3 design to verify my finding?
❝ Or is that all bullshit since we have to assume s2wT = s2wR if we use ANOVA (homogeneous variances)?
—
Pass or fail!
ElMaestro
Pass or fail!
ElMaestro
Complete thread:
- MSE of partial replicate design d_labes 2013-04-10 09:30
![[Mix]](https://static.bebac.at/img/mix.png "open in Mix view")
- MSE of partial replicate designElMaestro 2013-04-10 09:51
- MSE of partial replicate design d_labes 2013-04-10 10:28
- MSE of partial replicate design ElMaestro 2013-04-10 10:38
- MSE of partial replicate design d_labes 2013-04-10 11:15
- MSE of partial replicate design ElMaestro 2013-04-11 00:07
- MSE of partial replicate design d_labes 2013-04-10 11:15
- MSE of partial replicate design ElMaestro 2013-04-10 10:38
- MSE of partial replicate design d_labes 2013-04-10 10:28
- MSE of partial replicate designElMaestro 2013-04-10 09:51
Ing. Helmut Schütz